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Finding the Fourth Proportional to 382.87, 570.64 and 309.43

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Solution

The fourth proportional to 382.87, 570.64 and 309.43 is: 461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.87 : 570.64 = 309.43 : x
  2. Step 2: Convert to fraction form
    382.87/570.64 = 309.43/x
  3. Step 3: Cross multiply
    382.87x = 570.64 × 309.43
  4. Step 4: Simplify right side
    382.87x = 176,573.14
  5. Step 5: Solve for x
    x = 176,573.14/382.87
  6. Step 6: Final answer
    x = 461.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.